Упростите: [latex] \frac{2 x^{2} -8x}{ x^{2} -7x+12} [/latex]

[latex] \frac{2 x^{2} -8x}{ x^{2} -7x+12} = \frac{2x(x-4)}{x^2-3x-4x+12}= \frac{2x(x-4)}{x(x-3)-4(x-3)}=\frac{2x(x-4)}{(x-3)(x-4)}= \frac{2x}{x-3} [/latex]